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Finding the Fourth Proportional to 833.30, 1,249.51 and 416.37

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Solution

The fourth proportional to 833.30, 1,249.51 and 416.37 is: 624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.30 : 1,249.51 = 416.37 : x
  2. Step 2: Convert to fraction form
    833.30/1,249.51 = 416.37/x
  3. Step 3: Cross multiply
    833.30x = 1,249.51 × 416.37
  4. Step 4: Simplify right side
    833.30x = 520,262.90
  5. Step 5: Solve for x
    x = 520,262.90/833.30
  6. Step 6: Final answer
    x = 624.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.